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Finding the Fourth Proportional to 47,690.25, 65,818.62 and 28,827.38

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Solution

The fourth proportional to 47,690.25, 65,818.62 and 28,827.38 is: 39,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,690.25 : 65,818.62 = 28,827.38 : x
  2. Step 2: Convert to fraction form
    47,690.25/65,818.62 = 28,827.38/x
  3. Step 3: Cross multiply
    47,690.25x = 65,818.62 × 28,827.38
  4. Step 4: Simplify right side
    47,690.25x = 1,897,378,040.72
  5. Step 5: Solve for x
    x = 1,897,378,040.72/47,690.25
  6. Step 6: Final answer
    x = 39,785.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.